331332131200 has 384 divisors, whose sum is σ = 962721239040. Its totient is φ = 110315520000.

The previous prime is 331332131197. The next prime is 331332131201. The reversal of 331332131200 is 2131233133.

It is a super-3 number, since 3×331332131200³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331332131201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183970300 + ... + 183972100.

It is an arithmetic number, because the mean of its divisors is an integer number (2507086560).

Almost surely, 2^331332131200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331332131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481360619520).

331332131200 is an abundant number, since it is smaller than the sum of its proper divisors (631389107840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331332131200 is a wasteful number, since it uses less digits than its factorization.

331332131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 331332131200 its reverse (2131233133), we get a palindrome (333463364333).

The spelling of 331332131200 in words is "three hundred thirty-one billion, three hundred thirty-two million, one hundred thirty-one thousand, two hundred".